90776 has 16 divisors (see below), whose sum is σ = 194640. Its totient is φ = 38880.

The previous prime is 90749. The next prime is 90787. The reversal of 90776 is 67709.

It is a congruent number.

It is an unprimeable number.

90776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 755 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (12165).

2⁹⁰⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

90776 is an abundant number, since it is smaller than the sum of its proper divisors (103864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97320).

90776 is a wasteful number, since it uses less digits than its factorization.

90776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 90776 is about 301.2905574358. The cubic root of 90776 is about 44.9424779431.

The spelling of 90776 in words is "ninety thousand, seven hundred seventy-six".